100221202211201 has 16 divisors (see below), whose sum is σ = 111712934943360. Its totient is φ = 89352291283200.

The previous prime is 100221202211197. The next prime is 100221202211209. The reversal of 100221202211201 is 102112202122001.

It is not a de Polignac number, because 100221202211201 - 2² = 100221202211197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100221202211201.

It is not an unprimeable number, because it can be changed into a prime (100221202211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12471221 + ... + 18867266.

It is an arithmetic number, because the mean of its divisors is an integer number (6982058433960).

Almost surely, 2^{100221202211201} is an apocalyptic number.

It is an amenable number.

100221202211201 is a deficient number, since it is larger than the sum of its proper divisors (11491732732159).

100221202211201 is a wasteful number, since it uses less digits than its factorization.

100221202211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31348424.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100221202211201 its reverse (102112202122001), we get a palindrome (202333404333202).

The spelling of 100221202211201 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, two hundred eleven thousand, two hundred one".